Skip to main content
Top

2014 | OriginalPaper | Chapter

Influence of Chaotic Dynamics on the Performance of Differential Evolution Algorithm

Authors : Roman Senkerik, Donald Davendra, Ivan Zelinka, Zuzana Oplatkova

Published in: How Nature Works

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper outlines the extended investigations on the concept of a chaos driven Differential Evolution. The focus of this paper is the embedding of chaotic systems in the form of chaos number generator for Differential Evolution. The chaotic systems of interest are the discrete dissipative systems. Three chaotic systems were selected as possible chaos number generators for Differential Evolution. Repeated simulations were performed on the set of six basic benchmark functions. Finally, the obtained results are compared with canonical Differential Evolution.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference K. Price, in An Introduction to Differential Evolution, ed. by D. Corne, M. Dorigo, F. Glover. New Ideas in Optimization (McGraw-Hill, London, 1999), pp. 79–108. ISBN 007-709506-5 K. Price, in An Introduction to Differential Evolution, ed. by D. Corne, M. Dorigo, F. Glover. New Ideas in Optimization (McGraw-Hill, London, 1999), pp. 79–108. ISBN 007-709506-5
2.
go back to reference M.F. Tasgetiren, P.N. Suganthan, Q.K. Pan, An ensemble of discrete differential evolution algorithms for solving the generalized traveling salesman problem. Appl. Math. Comput. 215(9), 3356–3368 (2010)MathSciNetMATHCrossRef M.F. Tasgetiren, P.N. Suganthan, Q.K. Pan, An ensemble of discrete differential evolution algorithms for solving the generalized traveling salesman problem. Appl. Math. Comput. 215(9), 3356–3368 (2010)MathSciNetMATHCrossRef
3.
go back to reference G. Onwubolu, D. Davendra (eds.), Differential Evolution: A Handbook for Permutation-Based Combinatorial Optimization (Springer, Germany, 2009) G. Onwubolu, D. Davendra (eds.), Differential Evolution: A Handbook for Permutation-Based Combinatorial Optimization (Springer, Germany, 2009)
4.
go back to reference S. Das, A. Konar, U.K. Chakraborty, A. Abraham, Differential evolution with a neighborhood based mutation operator: a comparative study. IEEE Trans. Evolut. Comput. 13(3), 526–553 (2009)CrossRef S. Das, A. Konar, U.K. Chakraborty, A. Abraham, Differential evolution with a neighborhood based mutation operator: a comparative study. IEEE Trans. Evolut. Comput. 13(3), 526–553 (2009)CrossRef
5.
go back to reference A.K. Qin, V.L. Huang, P.N. Suganthan, Differential evolution algorithm with strategy adaptation for global numerical optimization. IEEE Trans. Evolut. Comput. 13(2), 398–417 (2009)CrossRef A.K. Qin, V.L. Huang, P.N. Suganthan, Differential evolution algorithm with strategy adaptation for global numerical optimization. IEEE Trans. Evolut. Comput. 13(2), 398–417 (2009)CrossRef
6.
go back to reference J. Zhang, A.C. Sanderson, JADE: Self-adaptive differential evolution with fast and reliable convergence performance. in Proceedings of IEEE Congress on Evolutionary (Computation, Singapore, 2007), pp. 2251–2258 J. Zhang, A.C. Sanderson, JADE: Self-adaptive differential evolution with fast and reliable convergence performance. in Proceedings of IEEE Congress on Evolutionary (Computation, Singapore, 2007), pp. 2251–2258
7.
go back to reference J. Zhang, A.C. Sanderson, Self-adaptive multiobjective differential evolution with direction information provided by archived inferior solutions. in Proceedings of IEEE World Congress on Evolutionary (Computation, Hong Kong, 2008), pp. 2801–2810 J. Zhang, A.C. Sanderson, Self-adaptive multiobjective differential evolution with direction information provided by archived inferior solutions. in Proceedings of IEEE World Congress on Evolutionary (Computation, Hong Kong, 2008), pp. 2801–2810
8.
go back to reference W. Liang, L. Zhang, M. Wang, The chaos differential evolution optimization algorithm and its application to support vector regression machine. J. Softw. 6(7), 1297–1304 (2011) W. Liang, L. Zhang, M. Wang, The chaos differential evolution optimization algorithm and its application to support vector regression machine. J. Softw. 6(7), 1297–1304 (2011)
9.
go back to reference G. Zhenyu, C. Bo, Z. Min, C. Binggang, in Self-Adaptive Chaos Differential Evolution, Lecture Notes in Computer Science. vol. 4221 (2006), pp. 972–975 G. Zhenyu, C. Bo, Z. Min, C. Binggang, in Self-Adaptive Chaos Differential Evolution, Lecture Notes in Computer Science. vol. 4221 (2006), pp. 972–975
10.
go back to reference D. Davendra, I. Zelinka, R. Senkerik, Chaos driven evolutionary algorithms for the task of PID control. Comput. Math. Appl. 60(4), 1088–1104 (2010). ISSN 0898-1221MathSciNetMATHCrossRef D. Davendra, I. Zelinka, R. Senkerik, Chaos driven evolutionary algorithms for the task of PID control. Comput. Math. Appl. 60(4), 1088–1104 (2010). ISSN 0898-1221MathSciNetMATHCrossRef
11.
go back to reference R. Senkerik, D. Davendra, I. Zelinka, M. Pluhacek, Z. Oplatkova, An investigation on the differential evolution driven by selected discrete chaotic systems. in Proceedings of the 18th International Conference on Soft Computing, MENDEL (2012), pp. 157–162 R. Senkerik, D. Davendra, I. Zelinka, M. Pluhacek, Z. Oplatkova, An investigation on the differential evolution driven by selected discrete chaotic systems. in Proceedings of the 18th International Conference on Soft Computing, MENDEL (2012), pp. 157–162
12.
go back to reference R. Senkerik, D. Davendra, I. Zelinka, M. Pluhacek, Z. Oplatkova, An investigation on the chaos driven differential evolution: an initial study. in Proceedings of the Fifth International Conference on Bioinspired Optimization Methods and Their Applications, BIOMA (2012), pp. 185–194 R. Senkerik, D. Davendra, I. Zelinka, M. Pluhacek, Z. Oplatkova, An investigation on the chaos driven differential evolution: an initial study. in Proceedings of the Fifth International Conference on Bioinspired Optimization Methods and Their Applications, BIOMA (2012), pp. 185–194
14.
go back to reference J.C. Sprott, Chaos and Time-Series Analysis (Oxford University Press, 2003) J.C. Sprott, Chaos and Time-Series Analysis (Oxford University Press, 2003)
Metadata
Title
Influence of Chaotic Dynamics on the Performance of Differential Evolution Algorithm
Authors
Roman Senkerik
Donald Davendra
Ivan Zelinka
Zuzana Oplatkova
Copyright Year
2014
Publisher
Springer International Publishing
DOI
https://doi.org/10.1007/978-3-319-00254-5_12

Premium Partner